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具有蒸发液滴两相介质近壁流动的数学分析

王柏懿 A. N. 欧西普措夫

王柏懿, A. N. 欧西普措夫. 具有蒸发液滴两相介质近壁流动的数学分析[J]. 应用数学和力学, 2002, 23(6): 576-582.
引用本文: 王柏懿, A. N. 欧西普措夫. 具有蒸发液滴两相介质近壁流动的数学分析[J]. 应用数学和力学, 2002, 23(6): 576-582.
WANG Bo-yi, A. N. Osiptsov. Mathematical Modeling of Near-Wall Flows of Two-Phase Mixture With Evaporating Droplets[J]. Applied Mathematics and Mechanics, 2002, 23(6): 576-582.
Citation: WANG Bo-yi, A. N. Osiptsov. Mathematical Modeling of Near-Wall Flows of Two-Phase Mixture With Evaporating Droplets[J]. Applied Mathematics and Mechanics, 2002, 23(6): 576-582.

具有蒸发液滴两相介质近壁流动的数学分析

基金项目: 国家自然科学基金资助项目(19972069)
详细信息
    作者简介:

    王柏懿(1941- ),女,浙江绍兴人,研究员,主要研究领域为高速气体动力学、低温等离子体动力学和多相介质流体力学.

  • 中图分类号: O359

Mathematical Modeling of Near-Wall Flows of Two-Phase Mixture With Evaporating Droplets

  • 摘要: 在双连续介质理论框架下,采用匹配渐进展开方法导出并求解了具有蒸发液滴的汽雾流中层流边界层方程,给出了控制汽雾流的相似判据。对于沿曲面的流动,边界层方程的形式取决于是否存在液滴的惯性沉积。给出了热钝体驻点附近蒸汽-液滴边界层的数值计算结果。它们表明:由于蒸发,在边界层内近壁处形成了一个无液滴区域;在该区上边界处,液滴半径趋于零而液滴数密度急剧增高。液滴蒸发及聚集的联合效应造成了表面热流的显著增加,甚至在自由来流中液滴质量浓度很低时此效应依然存在。
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    [7] Osiptsov A N, Rozin A V, Wang B Y. Novel Lagrangian method for calculating the particle concentration in dusty-gas flows[A]. In: ISMF'97[C]. Beijing,1997,65-72.
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    [10] Cole J D. Perturbation Methods in Applied Mathematics[M]. Waltham M A: Blaisdell,1972.
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  • 被引次数: 0
出版历程
  • 收稿日期:  2001-07-30
  • 修回日期:  2002-01-29
  • 刊出日期:  2002-06-15

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